For problem 1-8, verify directly from Definition 6.1.3 that the given mapping is a linear transformation. T : C 0 [ a , b ] → ℝ defined by T ( f ) = ∫ a b f ( x ) d x ,
For problem 1-8, verify directly from Definition 6.1.3 that the given mapping is a linear transformation. T : C 0 [ a , b ] → ℝ defined by T ( f ) = ∫ a b f ( x ) d x ,
Solution Summary: The author explains that the given mapping is a linear transformation if it satisfies the first condition.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY